Пошаговое объяснение:
1/27 + (7/9 - 2/3) = 4/27
1) 7/9 - 2/3 = = 7/9 - 6/9 = 1/9
9 = 3 * 3 * 1
3 = 3 * 1
НОК (9 и 3) = 3 * 3 * 1 = 9
9 : 9 = 1
9 : 3 = 3
2) 1/27 + 1/9 = =1/27 + 3/27 = 4/27
27 = 3 * 3 * 3 * 1
НОК (27 и 9) = 3 * 3 * 3 * 1 = 27
27 : 27 = 1
27 : 9 = 3
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42 - 9 3/4 - (11 7/12 + 2 5/18) = 18 7/18
1) 11 7/12 + 2 5/18 = = 11 21/36 + 2 10/36 = (11 + 2) + (21/36 + 10/36) = 13 31/36
12 = 2 * 2 * 3 * 1
18 = 2 * 3 * 3 * 1
НОК (12 и 18) = 2 * 2 * 3 * 3 * 1 = 36
36 : 12 = 3
36 : 18 = 2
2) 42 - 9 3/4 = 41 4/4 - 9 3/4 = 32 1/4
3) 32 1/4 - 13 31/36 = 32 9/36 - 13 31/36 = 31 45/36 - 13 31/36 = 18 14/36 = 18 7/18
8/11 и 5/8 = 64/88 и 55/88
11 = 11 * 1
8 = 2 * 2 * 2 * 1
НОК (11 и 8) = 2 * 2 * 2 * 11 * 1 = 88
88 : 11 = 8
88 : 8 = 11
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7/35 и 61/63 = 35/315 и 305/315
35 = 5 * 7 * 1
63 = 3 * 3 * 7 * 1
НОК (35 и 63) = 5 * 7 * 3 * 3 * 1 = 315
315 : 35 = 9
315 : 63 = 5
Пошаговое объяснение:
1/27 + (7/9 - 2/3) = 4/27
1) 7/9 - 2/3 = = 7/9 - 6/9 = 1/9
9 = 3 * 3 * 1
3 = 3 * 1
НОК (9 и 3) = 3 * 3 * 1 = 9
9 : 9 = 1
9 : 3 = 3
2) 1/27 + 1/9 = =1/27 + 3/27 = 4/27
27 = 3 * 3 * 3 * 1
9 = 3 * 3 * 1
НОК (27 и 9) = 3 * 3 * 3 * 1 = 27
27 : 27 = 1
27 : 9 = 3
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42 - 9 3/4 - (11 7/12 + 2 5/18) = 18 7/18
1) 11 7/12 + 2 5/18 = = 11 21/36 + 2 10/36 = (11 + 2) + (21/36 + 10/36) = 13 31/36
12 = 2 * 2 * 3 * 1
18 = 2 * 3 * 3 * 1
НОК (12 и 18) = 2 * 2 * 3 * 3 * 1 = 36
36 : 12 = 3
36 : 18 = 2
2) 42 - 9 3/4 = 41 4/4 - 9 3/4 = 32 1/4
3) 32 1/4 - 13 31/36 = 32 9/36 - 13 31/36 = 31 45/36 - 13 31/36 = 18 14/36 = 18 7/18
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8/11 и 5/8 = 64/88 и 55/88
11 = 11 * 1
8 = 2 * 2 * 2 * 1
НОК (11 и 8) = 2 * 2 * 2 * 11 * 1 = 88
88 : 11 = 8
88 : 8 = 11
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7/35 и 61/63 = 35/315 и 305/315
35 = 5 * 7 * 1
63 = 3 * 3 * 7 * 1
НОК (35 и 63) = 5 * 7 * 3 * 3 * 1 = 315
315 : 35 = 9
315 : 63 = 5